Box-Counting Dimension of the Cantor Set
From the realtion
N((1/3)
n
) = 2
n
we see
d
b
= lim
n→∞
Log(N((1/3)
n
)) / Log(1/((1/3)
n
))
= lim
n→∞
Log(2
n
) / Log(3
n
)
= lim
n→∞
(nLog(2))/(nLog(3))
= Log(2)/Log(3) ≈ 0.62989
Return to
Box-Counting Dimension of the Cantor Set
.